Pith Number

pith:DTSFHTTI

pith:2026:DTSFHTTIJHH4CNCRTQXNYMXK6E

not attested not anchored not stored refs pending

Gradient-free stochastic optimization of derivatives under strong convexity

Alexandre B. Tsybakov, Arya Akhavan, Sirine Louati

arxiv:2607.07249 v1 · 2026-07-08 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTSFHTTIJHH4CNCRTQXNYMXK6E}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-09T01:20:18.804926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ce453ce6849cfc134519c2edc32eaf120c5e629c38dda094ca1ed827fa58d6a

Aliases

arxiv: 2607.07249 · arxiv_version: 2607.07249v1 · doi: 10.48550/arxiv.2607.07249 · pith_short_12: DTSFHTTIJHH4 · pith_short_16: DTSFHTTIJHH4CNCR · pith_short_8: DTSFHTTI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DTSFHTTIJHH4CNCRTQXNYMXK6E \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1ce453ce6849cfc134519c2edc32eaf120c5e629c38dda094ca1ed827fa58d6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26b0dcfa0e43c26e3284f07559e38200ad3dbf7905cf9beb4f7bd2717422537",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-08T10:30:57Z",
    "title_canon_sha256": "bea60fe4c77f5d147c6fa62bc28d617fe8e2b808eef6287e7fe923764a12dc75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07249",
    "kind": "arxiv",
    "version": 1
  }
}